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GCF of 5137/885, 7321/6805

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5137/885, 7321/6805 i.e 1/1204485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5137/885, 7321/6805.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5137/885,7321/6805?

Given fractions are 5137/885,7321/6805

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5137/885,7321/6805, numerators are 5137,7321

Denominators are 885,6805

The GCF of 5137,7321 is 1 .

LCM of 885,6805 is 1204485.

The greatest common factor of 5137/885,7321/6805 = [GCF of 5137,7321]/[LCM of 885,6805]= 1/1204485

Therefore, the GCF of 5137/885,7321/6805 is 1/1204485.

Greatest Common Factor of 5137,7321

To find the highest common factor of 5137,7321, we have to find the factors of both numbers and list the highest common factor.

The factors of 5137 are 1, 11, 467, 5137

The factors of 7321 are 1, 7321

The HCF of 5137,7321 is 1.

Lets's calculate GCF of 5137,7321

Greatest Common Factor (GCF) of 5137,7321 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5137,7321 By Matching Biggest Common Factor Method

Greatest Common Factor of 5137,7321 By Matching Biggest Common Factor Method

Now, list down the factors of 5137

:

1,11,467,5137

Now, list down the factors of 7321

:

1,7321

Greatest Common Factor

We found the factors 5137,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,7321 is 1.

Lets's calculate LCM of 885,6805

Lowest Common Multiple of 885,6805 using Common Division

5 885, 6805
177, 1361

∴ So the LCM of the given numbers is 5 x 177 x 1361 = 1204485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1204485

Therefore, the GCF of Fractions 5137/885,7321/6805 is 1/1204485

Least Common Multiple of 885,6805 with GCF Formula

Least Common Multiple of 885,6805 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 885,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,6805) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(885,6805) x common factors =5 x 1 = 5

LCM(885,6805) = ( 885 × 6805 ) / 5

LCM(885,6805) = 6022425 / 5

LCM(885,6805) = 1204485


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5137/885, 7321/6805

1. What is the HCF of 5137,7321?

The HCF of 5137,7321 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5137/885, 7321/6805?

Answer: GCF of Numerators as per given numbers 5137/885, 7321/6805 is

GCF of Numerators i.e. for 5137,7321 is 1

LCM of denominators i.e. for 885,6805 is 1204485.

Thus, GCF of Fractions is 1/1204485.Finally, GCF of Fractions for 5137/885, 7321/6805 is 1/1204485.